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Finding the Fourth Proportional to 5,162.64, 7,724.82 and 3,083.78

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Solution

The fourth proportional to 5,162.64, 7,724.82 and 3,083.78 is: 4,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.64 : 7,724.82 = 3,083.78 : x
  2. Step 2: Convert to fraction form
    5,162.64/7,724.82 = 3,083.78/x
  3. Step 3: Cross multiply
    5,162.64x = 7,724.82 × 3,083.78
  4. Step 4: Simplify right side
    5,162.64x = 23,821,618.36
  5. Step 5: Solve for x
    x = 23,821,618.36/5,162.64
  6. Step 6: Final answer
    x = 4,614.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.